In ` A B C ,a=5,b=12 ,c=90^0a n dD` is a point on `A B` so that `/_B C D=45^0dot` Then which of the following is not true? `C D=(60sqrt(2))/(17)` (b) `B D=(65)/(17)` `A D=(60sqrt(2))/(17)` (d) none of these

In A B C , the coordinates of B are (0,0),A B=2,/_A B C=pi/3, and the middle point of B C has coordinates (2,0)dot The centroid o the triangle is (a) (1/2,(sqrt(3))/2) (b) (5/3,1/(sqrt(3))) (c) (4+(sqrt(3))/3,1/3) (d) none of these

If alt=3cosx+5sin(x-pi/6)lt=b for all x then (a , b) is (a) (-sqrt(19),sqrt(19)) (b) (-17 ,17) (c) (-sqrt(21),sqrt(21)) (b) none of these

The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (s c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

If a<0,b>0, then sqrt(a)sqrt(b) is equal to (a) -sqrt(|a|b) (b) sqrt(|a|b)i (c) sqrt(|a|b) (d) none of these

In A B C ,/_A=90^0a n dA D is an altitude. Complete the relation (B D)/(D A)=(A B)/(()) .

If r/(r_1)=(r_2)/(r_3), then A=90^0 (b) B=90^0 C=90^0 (d) none of these

In a "DeltaA B C"," "/_"C"=60" "&\ /_A=75. If D is a point on A C such that area of the "DeltaB A D" is sqrt(3) times the area of the "DeltaB C D", then the /_"A B D"= 60^0 (b) 30^0 (c) 90^0 (d) none of these

In A B C , if the orthocentre is (0,0) and the circumcenter is (1,2), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

If area of A B C() and angle C are given and if the side c opposite to given angle is minimum, then a=sqrt((2)/(sinC)) (b) b=sqrt((2)/(sinC)) a=sqrt((4)/(sinC)) (d) b=sqrt((4)/(sinC))